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Finding the Fourth Proportional to 1,917.55, 2,875.65 and 667.81

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Solution

The fourth proportional to 1,917.55, 2,875.65 and 667.81 is: 1,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.55 : 2,875.65 = 667.81 : x
  2. Step 2: Convert to fraction form
    1,917.55/2,875.65 = 667.81/x
  3. Step 3: Cross multiply
    1,917.55x = 2,875.65 × 667.81
  4. Step 4: Simplify right side
    1,917.55x = 1,920,387.83
  5. Step 5: Solve for x
    x = 1,920,387.83/1,917.55
  6. Step 6: Final answer
    x = 1,001.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.